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Finding the Fourth Proportional to 463,575,374,468.80, 695,363,061,703.20 and 463,575,374,468.80

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Solution

The fourth proportional to 463,575,374,468.80, 695,363,061,703.20 and 463,575,374,468.80 is: 695,363,061,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,575,374,468.80 : 695,363,061,703.20 = 463,575,374,468.80 : x
  2. Step 2: Convert to fraction form
    463,575,374,468.80/695,363,061,703.20 = 463,575,374,468.80/x
  3. Step 3: Cross multiply
    463,575,374,468.80x = 695,363,061,703.20 × 463,575,374,468.80
  4. Step 4: Simplify right side
    463,575,374,468.80x = 322,353,191,720,832,175,439,872
  5. Step 5: Solve for x
    x = 322,353,191,720,832,175,439,872/463,575,374,468.80
  6. Step 6: Final answer
    x = 695,363,061,703.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.